Integral of ln(x^2)

[timon00]

can anyone help me ?? i can't seem to do it i don't know what to do i tried by parts and substitution

 

[Tide]

HINT:

$$\int (\ln x)^2 dx = \int \frac {dx}{dx} (\ln x)^2 dx$$

 

[timon00]

sorry to say but i don't get that hint , can u exlain more please




thanks

 

[shmoe]

When you tried integration by parts, how did you break it up? Do you know how to find the simpler integral $\int\ln(x)dx$ by parts?

 

[Tide]

It's just integration by parts:

$$\int (\ln x)^2 dx = \int \frac {dx}{dx} (\ln x)^2 dx = x (\ln x)^2 - \int x \frac {d (\ln x)^2}{dx} dx$$

You should be able to handle the rest.